1999

• 1.

  Chernoivan V. A., Mamaev I. S.

  The restricted two-body problem and the kepler problem in the constant curvature spaces
  Regular and Chaotic Dynamics, 1999, vol. 4, no. 2, pp. 112-124
  Abstract          pdf  (807.85 Kb)

  In this work we carry out the bifurcation analysis of the Kepler problem on $S^3$ and $L^3$, and construct the analogues of Delaunau variables. We consider the problem of motion of a mass point in the field of moving Newtonian center on $S^2$ and $L^2$. The perihelion deviation is derived by the method of perturbation theory under the small curvature, and a numerical investigation is made, using anology of this problem with rigid body dynamics.

  
  

  Citation:	Chernoivan V. A., Mamaev I. S., The restricted two-body problem and the kepler problem in the constant curvature spaces, Regular and Chaotic Dynamics, 1999, vol. 4, no. 2, pp. 112-124
  DOI:	10.1070/RD1999v004n02ABEH000107
  Full text:	pdf (807.85 Kb)

  Journal Info

  Impact-factor WoS (2014):	0.860
  ISSN (print):	1560-3547
  ISSN (online):	1468-4845
  Site:	http://rcd.ics.org.ru/